(1+(-2)m)(3+(-4)m)=

Solution for (1+(-2)m)(3+(-4)m)= equation:

Simplifying
(1 + (-2) * m)(3 + (-4) * m) = 0

Multiply (1 + -2m) * (3 + -4m)
(1(3 + -4m) + -2m * (3 + -4m)) = 0
((3 * 1 + -4m * 1) + -2m * (3 + -4m)) = 0
((3 + -4m) + -2m * (3 + -4m)) = 0
(3 + -4m + (3 * -2m + -4m * -2m)) = 0
(3 + -4m + (-6m + 8m2)) = 0

Combine like terms: -4m + -6m = -10m
(3 + -10m + 8m2) = 0

Solving
3 + -10m + 8m2 = 0

Solving for variable 'm'.

Factor a trinomial.
(1 + -2m)(3 + -4m) = 0

Subproblem 1
Set the factor '(1 + -2m)' equal to zero and attempt to solve:

Simplifying
1 + -2m = 0

Solving
1 + -2m = 0

Move all terms containing m to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + -2m = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2m = 0 + -1
-2m = 0 + -1

Combine like terms: 0 + -1 = -1
-2m = -1

Divide each side by '-2'.
m = 0.5

Simplifying
m = 0.5
Subproblem 2
Set the factor '(3 + -4m)' equal to zero and attempt to solve:

Simplifying
3 + -4m = 0

Solving
3 + -4m = 0

Move all terms containing m to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + -4m = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -4m = 0 + -3
-4m = 0 + -3

Combine like terms: 0 + -3 = -3
-4m = -3

Divide each side by '-4'.
m = 0.75

Simplifying
m = 0.75
Solution
m = {0.5, 0.75}